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The present age of a father is 3 years more than three times
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01 Apr 2020, 09:58
01 Apr 2020, 09:58
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Question Stats:
86% (02:40) correct
13% (01:04) wrong based on 15 sessions
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The present age of a father is 3 years more than three times the age of his son. Three years hence , father's age will be 10 years more than twice the age of the son. Present age of the father is ?
A. 9
B. 10
C. 30
D. 33
E. 35
Kudos for the right answer and explanation
A. 9
B. 10
C. 30
D. 33
E. 35
Kudos for the right answer and explanation
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: The present age of a father is 3 years more than three times
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01 Apr 2020, 10:04
01 Apr 2020, 10:04
Carcass wrote:
The present age of a father is 3 years more than three times the age of his son. Three years hence , father's age will be 10 years more than twice the age of the son. Present age of the father is ?
A. 9
B. 10
C. 30
D. 33
E. 35
Kudos for the right answer and explanation
A. 9
B. 10
C. 30
D. 33
E. 35
Kudos for the right answer and explanation
The present age of a father is 3 years more than three times the age of his son
Let x = the PRESENT age of the son
So, 3x + 3 = the PRESENT age of the father
So, x + 3 = the son's age IN THREE YEARS
And 3x + 3 + 3 = the father's age IN THREE YEARS
Three years hence , father's age will be 10 years more than twice the age of the son
In other words: (father's age in 3 years) = 2(son's age in 3 years) + 10
In other words: (3x + 3 + 3) = 2(x + 3) + 10
Simplify: 3x + 6 = 2x + 16
Subtract 2x from both sides: x + 6 = 16
Subtract 6 from both sides: x = 10
This means the son's PRESENT age is 10 years old
Since 3x + 3 = the PRESENT age of the father, the father's present age = 3(10) + 3 = 33
Answer: D
Cheers,
Brent
Re: The present age of a father is 3 years more than three times
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01 Apr 2020, 14:19
01 Apr 2020, 14:19
1
let sons present age = x
father's present age = 3x+3
3yrs later,
sons age = 2(x+3)
fathers age = 3x + 3 + 3= 3x+6
however, 3x+6 = 2(x+3) + 10
hence x = 10
presnt age of father = 3(10) + 3 = 33yrs
hence, ans is D
father's present age = 3x+3
3yrs later,
sons age = 2(x+3)
fathers age = 3x + 3 + 3= 3x+6
however, 3x+6 = 2(x+3) + 10
hence x = 10
presnt age of father = 3(10) + 3 = 33yrs
hence, ans is D
